What is the solution to the system of equations graphed below?
OA. (-2,0)
OB. (0,2)
OC. (0,-2)
D (2.0)
y=x+2
5
y = -2x-4
y=-2x-4
y=x+2

a

(4.5, 0) and (5, 0)

The x-intercept of the parabola represents the point where the parabola graph intersects the x-axis. In other words, these are the x values where the y coordinate is 0.

Using the information given, we can observe that the parabola falls from the left, passes through the point (3, 2), reaches the minimum point, then rises to the right and passes through the point (6, 2) .

Since the parabola intersects the x-axis at the x-intercept, we can conclude that the x-intercept is the point where the y-coordinate is 0. In this case, x values of 4.5 and 5 will have a y coordinate of zero. So the x-intercepts of the parabola are (4,5,0) and (5,0). 

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

9 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

t = 267.57 / ( 991 × 0.03 ) = 9

t = 9 years

The time required to

accumulate simple interest of $ 267.57

from a principal of $ 991.00

at an interest rate of 3% per year

is 9 years.

Answer:

A

Step-by-step explanation:

A looks good to me why?

Well:  31 x -10= -310 - true

Could I get brinliest pls Tysm if u do!

Hope this helps :D

0.5328 is the probability that a patient has total cholesterol between 180 and 190

We have, Mean value, μ = 200 mg/dl

Standard deviation, σ = 20 mg/dl

Let X be the random variable that represents the total cholesterol levels in the population, then the distribution of X is given as follows:

X ~ N(μ, σ^2)Here, X ~ N(200, 20^2)

Now, the probability that a patient has total cholesterol levels between 180 and 190 i.e.,P(180 < X < 190)

Using the Z-score standardization formula,

Z = (X - μ) / σ

Z-score for X = 180,

Z₁ = (180 - 200) / 20 ⇒ -1

Z-score for X = 190,

Z₂ = (190 - 200) / 20 ⇒ -0.5

Therefore, P(180 < X < 190) = P(-1 < Z < -0.5)

Now, we can use a standard normal distribution table to find this probability:

P(-1 < Z < -0.5) = Φ(-0.5) - Φ(-1) ⇒ 0.6915 - 0.1587 = 0.5328 (rounded to 4 decimal places)

Therefore, the probability that a patient has total cholesterol levels between 180 and 190 is 0.5328 (rounded to 4 decimal places).

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Answer:

Step-by-step explanation:

We know a complete revolution happens in 360 degrees so let set up a proportion.

1.25/5=  x/360

1/4= x/360

x=90

So this angle was 90 degrees.

Notice that the circumference of a circle is 2pi radians.

So a full revolution takes 2pi radians to occur.

1/4 of that will be pi/2 radians.

So, the radians is pi/2

Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

Answer:

(-8,7)

Step-by-step explanation:

5x+9y=23

-2x+y=23

 Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1

just like -2x+y=23 has the variable 1y

 Step 2. solve for y in the second equation

-2x+y=23

+2x       +2x

y=2x+23

Step 3. rewrite your equation

5x+9y=23

y=2x+23

 Step 4. replace your y variable with the expression you just made

5x+9(2x+23)=23

Step 5. Distribute the 9 and solve

5x+18x+207=23

23x+207=23

23x=-184

x=-8

Step 6. enter your x value into the equation you solved in step one

y=2(-8)+23

y=-16+23

y=7

Step 7. determine if consistent or inconsistent

Because you have a x and y you have an consistent

...you can also graph it

Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

Approximately 2.28% of the bottles would be expected to have less than 58 ounces.

To determine the proportion (or percentage) of bottles expected to have less than 58 ounces, we need to calculate the z-score and then use the standard normal distribution table.

First, let's calculate the z-score using the formula:

z = (x - μ) / σ

where:

z = (58 - 64) / 3 = -2

Next, we need to find the corresponding area under the standard normal curve for a z-score of -2.

By referring to a standard normal distribution table or using a calculator, we can find that the area to the left of -2 is approximately 0.0228.

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Given:

After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function

\(f(x)=110(0.83)^x\)

To find:

Interpret the given function values and determine an appropriate domain for the function.

Solution:

The general form of an exponential function is

\(f(x)=ab^x\)

Where, a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.

We have,

\(f(x)=110(0.83)^x\)

Here, 110 is the initial value and 0.83 is the decay factor.

It means, the amount of medicine in the person's bloodstream after taking the dose is 110 milligrams and the amount of medicine decreasing in the person's bloodstream with the decay factor 0.83 or decreasing at the rate of (1-0.83)=0.17=17%.

We know that an exponential function is defined for all real values of x but the time cannot be negative. So, x must be non negative.

\(Domain:0\leq x\)

\(Domain:[0,\infty)\)

We know that \((0.83)^x>0\) for any value of x. So, \(110(0.83)^x>0\) for all values of x.

\(Range:f(x)>0\)

\(Range:(0,\infty)\)

Therefore, domain of the function is \([0,\infty)\) and the range is \((0,\infty)\).

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Answer:

can you copy and paste it on a question its kinda blurry for me

Step-by-step explanation:

Answer:

B / The Girl

Step-by-step explanation:

.

Answer:

Both use bh but triangle is 1/2bh

Step-by-step explanation:

Formulas

Parallelogram bh

Triangle 1/2bh

the first statement is false, and the 2nd statement is true.

the sign > indicates it is greater than the next value and the sign < indicates it is less than the next value.

In mathematics the above signs are used to compare two mathematical expressions.

7<5 cannot be possible as positive 7 is always greater than positive 5

in the next positive 3 is greater than positive 1 so it is true.

hence, 7<5 is false and 3>1 is true.

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Answer:

B, 2(10^4)

Step-by-step explanation:

2(10^3)= 2000

2(10^4)= 20000

2(10^4) Is closer to 16790 than 2(10^3)

Answer:

2 between 2 and 4 and 8 between 7 and -1

Amanda have roll of black ribbon \(= 3_3^2th\)

If Amanda has rolls of black ribbon  \(= 4_2^1th\)

total rolls of black ribbon amanda have \(= 3_3^2th+4_2^1th\)\(= 8_6^1 th\)

What is Fraction?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Consider the expression;

\(= 3_3^2th+4_2^1th\)

Rewriting our equation with parts separated

\(= 3+\frac{2}{3}+4+\frac{1}{2}\)

Solving the whole number parts

3 + 4 = 7

Find the LCD of 2/3 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 6

\(\frac{4}{6}+\frac{3}{6} = \frac{7}{6}\)

Combining the whole and fractional parts

\(7+1+\frac{1}{6} = 8_6^1\)

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Answer:

0.20<n<0.25

Step-by-step explanation:

0.20<n<0.25

Answer:

Discrete

Step-by-step explanation:

Discrete is the type of variable in which the number of auto accidents reported in a given month q

Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.

As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.

Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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The probability that the digit that is received (after having been transmitted across the 4 channels) is 0.3645

In communication systems, it is common to face the challenge of transmitting information accurately over a noisy channel. In this scenario, errors can occur during transmission, and it is essential to quantify the probability of receiving the correct information at the end of the channel.

In this problem, we are asked to calculate the probability that the digit received after transmitting a 0 across four channels is also a 0. We know that each channel can either transmit the digit correctly with probability 0.9 or incorrectly with probability 0.1. Therefore, we can use the concept of conditional probability to solve this problem.

Using Bayes' theorem, we can rewrite this as:

P(CCCC | 0 received) x P(0 received) / P(CCCC)

Here, P(CCCC | 0 received) represents the probability that all four channels transmitted the 0 correctly, given that a 0 was received. This probability can be calculated as:

P(CCCC | 0 received) = P(C) x P(C | C) x P(C | C | C) x P(C | C | C | C)

Substituting the given probabilities, we get:

P(CCCC | 0 received) = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Similarly, we can calculate the probability of receiving a 0 in general as:

P(0 received) = P(CCCC | 0 received) x P(0) + P(IIII | 0 received) x P(1)

where P(IIII | 0 received) represents the probability that all four channels transmitted the digit incorrectly, given that a 0 was received. This probability can be calculated similarly as:

P(IIII | 0 received) = P(I) * P(I | I) x P(I | I | I) x P(I | I | I | I) = 0.1 x 0.1 x 0.1 x 0.1 = 0.0001

Substituting the given probabilities, we get:

P(0 received) = 0.6561 x 0.5 + 0.0001 x 0.5 = 0.3281

Finally, we can calculate the denominator P(CCCC) as:

P(CCCC) = P(CCCC | 0 received) x P(0) + P(CCCC | 1 received) x P(1)

where P(CCCC | 1 received) represents the probability that all four channels transmitted the digit correctly, given that a 1 was received. This probability can be calculated similarly as:

P(CCCC | 1 received) = P(I) x P(I | C) x P(I | C | C) x P(I | C | C | C) = 0.1 x 0.9 x 0.9 x 0.9 = 0.0729

Substituting the given probabilities, we get:

P(CCCC) = 0.6561 * 0.5 + 0.0729 * 0.5 = 0.3645

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A random variable cannot be negative.

This statement is false.

A random variable can be either positive, negative, or zero.

A random variable is a mathematical representation of a number or object that is affected by random occurrences. It is a function or mapping between probable outcomes in a sample space to a measurable space, frequently to real values.

A random variable is a rule that assigns a number value to each outcome in a sample space, or it may be defined as an unknown variable or a function that assigns numerical values to each outcome of an experiment.

Random variables are classed as discrete or continuous. The key distinction between the two groups is the range of potential values for each variable.

The range of a random variable depends on the underlying probability distribution and the specific scenario being modelled.

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Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Answer:

Hello! answer: c = 4

Step-by-step explanation:

triangle area formula: base × height ÷ 2 or base × height × 1/2

6 × 4 = 24

24 ÷ 2 = 12 therefore c = 4 Hope that helps!

Answer:

0.5

Step-by-step explanation:

11 divided by 21 = 0.52380952381

Recall that the nearest tenth is:
0.52380952381

So, rounded to the nearest tenth we get...
= 0.5

Answer:

Not a question, and also incorrect (sorry)

Step-by-step explanation:

The rate of change for a vertical line is undefined.

The rate of change for a HORIZONTAL line is 0

Theoretically, the rate of change for a vertical line is not zero it is undefined.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

Zero rates of change refer to a quantity that does not fluctuate over time.

But bear in mind these two separate circumstances: Horizontal lines have a slope of 0 since the vertical change is 0.

As 0 cannot be split into any integer, there is no slope for vertical lines since there is no horizontal change.

Because of this, the rate of change for a vertical line is not zero but rather is unknown.

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